{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x143170f6388>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nUQ3vxKThnWjo67yLzdRY6CISBpTayjwQGMWFL3ouBe4FfgTGAiuNvp/aqf61dh8FxWVMGx1jdRSPNH1UDFsO5vKnz7bTo21TurVpanUk5Uay8ot45vMdLNt1jF7hwbz7wAC6t3X+3yF7Drm0AVaJyDbgZyqPoX8lIs+LyBjbNm8CzUUkFZgGPOmcuArgREExb63fz/W92tC1tRaNM/j6NGDOuFiCA/2YuCiRfB3ipexgjOGjnzMYMeN7vk/O5qlru/LZo4PrpczBjhW6MWYbEFvF158953YRcJtjo6nqvL5mH0Wl5UwdqatzZwoLasi8u+IY968NPPHxNhaMj9Pz/FW1MnIKeWrJdtalHqd/h2a8eEsvosOa1GsGfaeom8nKL+LdH9O5OTacTi3r9y+LN+rfoRlPXtOV/+48yhtrdYiXulB5heGtdfsZPXMNWzJy+fvNPfngdwPrvcyhli+KKuu9ujqN0nLDlBGdrY7iNR66ogOJB07y4n/30CcihP4dmlkdSbmIlGOneOLTbWw+mMtVXcL4x2960TYk0LI8ukJ3I4dzz/DexoPcHt+O9s0bWx3Ha4gI/7ytNxGhgUx+L4msU0VWR1IWKymrYM6KFK6fs47046eZdUdf3rrvMkvLHLTQ3crclakATB6uq/P61jTAjwXj+5FfVDnEq6y8wupIyiLbDuUyZt46ZiQkc3XP1iRMu5KbY8Nd4vUVLXQ3cfBEIR9vymBc/wjCLV4FeKtubZry95t7sWFfDq8kJFsdR9WzotJyXvhmNzfPX8/JwhL+9dt45o6LpUWThlZH+4UeQ3cTc1am4NNAmHSVc95hpuwztl87Eg/ksGB1GnGRoYzq3srqSKoebNh3gic/3Ub6iULG9Y/gyWu7ERzoZ3WsC+gK3Q2kZRewJOkQ9wxsT8umAVbH8Xp/ubEHPcObMu2jLRw8oUO8PNmpolL+9Nl27ly4gQoD7z00gBdu6e2SZQ5a6G5h9vIUAvx8eGRYR6ujKCqHeC24ux8NRHSIlwdbuecYo2eu4f2fDvLQ5R34bupQBndy7QvIaKG7uL1HT/HltsPcNzjKpY7VebuIZo2YeUcfdh7O569Ld1odRzlQzukSpn6wmQfe3kRQgC+fThzMMzd0J9DfeTNYHEWPobu4mQnJNPH3ZcLQaKujqPMM79qKSVd1ZP6qNOLah3J7fITVkdQlMMbw5bYj/HXpTk4VlTJlRGcmXdUJf1/3WfdqobuwHZl5/HfnUaaO7ExII3+r46gqTBvVhc0Hc/nz5zvo0bYpPdrq5Et3dDSvcpjW8t3H6NMumJfGDnDLOUnu86PHC81ISCY40I8HLu9gdRRVDZ8GwpxxsYQ08uPRxUnkndEhXu7EGMP7Px1k1IzvWZeazTPXd2PJo0PcssxBC91lJR08yco9WTx8ZTRNA1zzFXVVqUWThsy/K47Mk2f4w8db0cnR7uHAidPc9a+NPLVkOz3Dg/lu6lAeuiIanwbWv0GorrTQXdSMZck0b+zPvYOirI6i7BAf1Ywnr+3Ksl3HWLhmn9Vx1EWUVxjeWLuPq2etYUdmHi/c0ov3fjfAI8Zp6DF0F7Rx3wnWpR7nmeu70bihPkXu4sHLO5B08CT//G4vfSNCGBB9wWV1lcX2Hq0cprU1I5eR3Vry95t70TrYc97boSt0F2OM4ZVlybQMasj4ge2tjqNqQUR46dbetG/WiMnvbyYrX4d4uYqSsgpmLU/mhrlrycgpZM64WP7123iPKnPQQnc561KP81N6DpOHdyLAz/XPe1W/FhTgx6vj4zhVVMpkHeLlErZk5HLj3HXMWp7Cdb3asHzalYzp09Ylhmk5mha6Czm7Og8PCeSOy/ScZnfVtXVTXrilFz/tz+HlZXutjuO1zpSU84+vd3HLq+vJO1PKm/fGM/vOWJo19txTgPUArQtZtTeLLRm5vHhLL6deGVw5329i27Ep/SSvf7+PfpGhjO7R2upIXuWHtOM8+el2DuYUcveASJ68titBXnC2mBa6izi7Oo9s1ohb+7WzOo5ygGdv7M72zDymf7yVr1oHecRZFK4uv6iUF77Zzfs/ZRDVvBEfTBjIQC96cVoPubiI73YeZefhfKaO7Iyfjz4tnqChrw/z74qjgQiPLErSIV5OtnzXMUbN+J4Pf87g4aHRfDtlqFeVOWihu4TyCsOMhGQ6hjXmpr7hVsdRDhTRrBGz7ujL7iP5/PnzHVbH8UgnCor5/fubeejdTYQ28ufzSUN46rpubjFMy9H0kIsL+GrbYZKPFTDvrli3fpeaqtpVXVvy++GdmLsylfioUO64LNLqSB7BGMPSrYf569KdFBSXMW1UDI9c2dGthmk5mha6xcrKK5i9PIWurYO4rmcbq+MoJ5k6MqZyiNcXO+nRNpie4TrE61Iczj3DM5/vYOWeLGIjQ3jp1t7EtAqyOpblavxRJiIRIrJKRHaJyE4RmVLFNsNEJE9Ettg+nnVOXM/z2eZM9h0/zeOjYmigq3OP5dNAmH1nX5o18tchXpegosKwaMMBRs9cw49pJ3j2hu588shgLXMbe343KQOmG2O6AwOBSSLSvYrt1hpj+to+nndoSg9VUlbBnJUp9AoPZrRem9LjNW/SkPl3x3E49wzTP9pKRYUO8aqN/cdPM+5fG3jm8x30iagcpvXA5R30MOU5aix0Y8wRY0yS7fYpYDegr9w5wMeJGWTknGHa6BiPfNeaulC/9qE8fV03lu8+xus6xMsuZeUVvP59GtfMWsOuI/n889beLHpwAJHNG1kdzeXU6hi6iEQBscDGKu4eJCJbgcPA/xhjLrgul4hMACYAREZ69wtDRaXlzFuZSr/2oQyLCbM6jqpH9w+JIvHgSV7+bg99I0IY1NG7Tq2rjd1H8vnjp9vYdiiPUd1b8febe9JKL5ReLbtfDhaRJsCnwFRjTP55dycB7Y0xfYC5wOdVfQ9jzEJjTLwxJj4szLtL7IOfDnIkr4jpo3R17m3ODvGKatGY3+sQryoVl5UzY9lebpy7jsO5Z5h/VxwL7+mnZV4DuwpdRPyoLPPFxpgl599vjMk3xhTYbn8D+ImIa18e20JnSsqZtyqNgdHNXP4q4so5mjT05bXx/ThdXMbk9zZTqkO8fpF44CTXz1nHnJWpjOnTloTHr+T63m104WMHe85yEeBNYLcxZkY127S2bYeI9Ld93xOODOpJ/rMhneMFxUwf3cXqKMpCMa2CePHWXvyUnsPL3+kQr8KSMp77cidjX/uBwuIy/n3/Zcy4oy+hHjxMy9HsOYY+BLgH2C4iW2xfexqIBDDGvAaMBSaKSBlwBrjT6HW4qlRQXMaC1WkMjQnjsqhmVsdRFrupbzib0k+ycM0+4iJDuaandw7xWpdynCeXbOPQyTP8dlB7nrimK0304i61VuP/MWPMOuCiv+sYY+YB8xwVypO9vX4/JwtLmT4qxuooykU8c0M3tmXm8YePt9KldRAdWnjPEK+8M6X84+tdfLTpEB1aNOajhwfRv4MudOrKe98ja4G8M6UsXLOPkd1a0ScixOo4ykVUDvGKxcdHmLgokTMl3jHE67udRxk143s+Tcpk4rCOfDvlCi3zS6SFXo/eXLuP/KLKmRNKnatdaOUQr73HTvHM5zvw5COW2aeKmbQ4iYf/k0jzJg35/NEh/PGarnqFLgfQg1T1JOd0CW+tT+f6Xm3o3rap1XGUCxrWpSW/H96ZOStSiI8KZVx/z3qvhjGGJUmZPP/VLs6UlPOHq7swYWi0jot2IC30evL6mjROl5QxdWRnq6MoFzZlRGc2HzzJX5bupFe45wzxysw9w9NLtvN9cjb92ofy0q296dSyidWxPI7+aKwH2aeKefeHA9zUpy2ddYiQuojKIV6xNG/szyOLEskrdO8hXhUVhnd/TGf0jO/5OT2Hv97YnY8fHqRl7iRa6PVgweo0SsormDJSj52rmjVr7M/8u+M4ll/EtI+2uO0Qr7TsAu5Y+CPPfrGTuPahfDd1KPcN6aBTRZ1IC93JjuSdYdHGA9waF+5Vp6OpSxMXGcqfruvGij1ZLPg+zeo4tVJWXsGrq1O5dvZa9h49xctje/PuA/2JaKbDtJxNj6E72fxVqRhj+P1wPXauaufewVEkHszllWV7iY0MYXBH1x8TsfNwHn/8dBs7MvO5tmdrnrupBy2DdP5KfdEVuhNl5BTy4c8Z3HFZhK5OVK2JCC/e0ovosCY89v5mjua57hCvotJyXv5uD2PmredoXjEL7o5jwfh+Wub1TAvdieauTEFEmHyVrs5V3TRu6Mtr4+MoLCln8ntJLjnEa1N6DtfNWcv8VWn8Jjac5dOGcm0vvZyiFbTQnWT/8dN8mpTJ+AHtaR2sqxRVd51aBvHirb3ZdOAkL327x+o4vzhdXMZfl+7kttd/pLi0gncf6M//3daHkEY6TMsqegzdSWYvT8bfpwETh3W0OoryAGP6tCUxPYc31u2nX/tQy1fAa5KzeWrJdg7nneHeQVH84eouNNZhWpbTZ8AJUo6d4outh3l4aEfCghpaHUd5iD9d352th/L4wyfb6NI6iOiw+j+XO7ewhL9/vZtPEg8RHdaYjx8eRLxODXUZesjFCWYtT6Gxvy8PD422OoryIP6+DZh/dxx+PsLERUkUlpTV6+N/u/0II2es4bPNmUy+qhPfPHaFlrmL0UJ3sJ2H8/h6+xEeGBKlg/mVw4WHBDL7zliSs07xzGf1M8QrK7+IR/6TyMTFSbRq2pClk4fwP1d30WFaLkgPuTjYzIQUmgb48uAVujpXzjE0JowpIzoza3kK/aJCuXtAe6c8jjGGTxIP8bevdlFUVsEfr+nK767ogK8O03JZWugOtCUjl+W7j/E/o2MIDvSzOo7yYI8N70zSwVyeW7qLXuHB9G4X4tDvn5FTyNOfbWdtynEuiwrlxVt709GCY/aqdvRHrQPNSEimWWN/7hvSweooysM1aCDMuqMvLZr4M3FRErmFJQ75vhUVhrfX7+fqWWtIOnCSv93Ugw8nDNIydxNa6A7yc3oOa5KzeeTKaL0WoqoXzRr78+r4fmSdKuLxDy99iFdq1ilue/1H/vrlLi6LasZ3jw/lnkFROkzLjWihO8gry/YSFtSQewZGWR1FeZG+ESH8+YburNqbzaurU+v0PUrLK5i3MoXrZq8jLbuAGbf34e37L6NdqI6rcDe6lHSAH1KPs2Ff5aznQH995V/Vr3sGtifxwElmJCQTGxnKkE72D/HakVl5XvvuI/lc37sNf72xh753wo3pCv0SGWP4v2V7aRMcwJ0edskw5R5EhBdu6UXHWgzxKiot58Vv93DT/PUcLyjm9Xv6Mf+uOC1zN6eFfolWJ2eTdDCXycM76Xm5yjKN/H1ZML4fRaXlTKphiNdP+3O4bvZaXvs+jbFx7Vj++JVc3aN1PaZVzqKFfgmMMcxYlkxEs0Bu6xdhdRzl5Tq1bMJLY3uTeOAkL3xz4RCvguIy/vz5Dm5//UdKyitY9OAAXhrbm+BGeoqtp6jxGLqIRADvAq0AAyw0xsw+bxsBZgPXAYXAfcaYJMfHdS3Ldh1je2YeL4/tjb+v/mxU1ruhd1s2pZ/krfWVQ7yu7105xGvV3iz+tGQ7R/KLeGBIB/7n6hga+etLaJ7Gnme0DJhujEkSkSAgUUQSjDG7ztnmWqCz7WMAsMD2X49VUWGYmZBMdIvG/CY23Oo4Sv3i6eu6se1QLk98spXWwQ1ZvOEgSzZn0rllEz55ZDD92odaHVE5SY3LSmPMkbOrbWPMKWA3cH6D3QS8ayptAEJExKMn3H+9/Qh7jp5iysjO+lZo5VLODvFq6OfDrQt+ZOnWwzw2vBNfPXa5lrmHq9XvXCISBcQCG8+7KxzIOOfzQ7avHTnvz08AJgBERrrvGSHlFYZZy5OJadWEG3u3tTqOUhdoExzIgrvj+Pf6dKaM7Ey3Nk2tjqTqgd2FLiJNgE+BqcaY/Lo8mDFmIbAQID4+3vlj4pzkiy2ZpGWf5rXxcfouOuWyBkQ3Z0B0c6tjqHpk17ECEfGjsswXG2OWVLFJJnDuaR7tbF/zOKXlFcxankKPtk31VC+llEupsdBtZ7C8Cew2xsyoZrOlwG+l0kAgzxhzpJpt3dqniYc4mFPI9NExVP6vUUop12DPIZchwD3AdhHZYvva00AkgDHmNeAbKk9ZTKXytMX7HZ7UBRSXlTN3ZSp9I0K4qktLq+MopdSv1Fjoxph1wEWXoqbysimTHBXKVX34cwaZuWd48dZeujpXSrkcPd/OTkWl5cxbmUr/Ds24vBbDj5RSqr5oodtp0YYDZJ0qZvooPXaulHJNWuh2OF1cxoLVaVzRuYWeBqaUclla6HZ458d0TpwuYdqoGKujKKVUtbTQa5BfVMrr3+9jeNeWxEbq26aVUq5LC70Gb63bT96ZUl2dK6Vcnhb6ReQWlvDm2v1c06M1PcODrY6jlFIXpYV+EQvX7KOgpIzHdXWulHIDWujVOF5QzNs/pHNj77Z0aR1kdRyllKqRFno1XludRlFpOVNGdrY6ilJK2UULvQrH8ov4z4YD3BLXjo5hTayOo5RSdtFCr8L8VamUVximjNDVuVLKfWihnycz9wwf/JTBbfERRDRrZHUcpZSymxb6eeatTAHg98M7WZxEKaVqRwv9HAdOnOajTYe4a0AkbUMCrY6jlFK1ooV+jtkrUvDzER4d1tHqKEopVWta6DapWQV8vjmT3w6KomXTAKvjKKVUrWmh28xankyAnw8PD422OopSStWJFjqw+0g+X207wgNDOtC8SUOr4yilVJ1ooQMzE5IJCvDld1fo6lwp5b68vtC3H8pj2a5j/O6KaIIb+VkdRyml6szrC31Gwl5CGvlx/5Aoq6MopdQl8epCTzxwklV7s3l4aEeCAnR1rpRyb15d6DMS9tKiiT/3Dm5vdRSllLpkNRa6iLwlIlkisqOa+4eJSJ6IbLF9POv4mI73Y9oJ1qeeYOKwTjTy97U6jlJKXTJ7muxtYB7w7kW2WWuMucEhieqBMYYZCXtp3TSAuwdEWh1HKaUcosYVujFmDZBTD1nqzdqU4/ycfpJJwzsR4OdjdRyllHIIRx1DHyQiW0XkWxHpUd1GIjJBRDaJyKbs7GwHPXTtGGN4ZdlewkMCuSM+wpIMSinlDI4o9CSgvTGmDzAX+Ly6DY0xC40x8caY+LCwMAc8dO2t2J3F1kN5TBnRGX9fr35NWCnlYS650Ywx+caYAtvtbwA/EWlxycmcoKLC8EpCMlHNG3FLXLjVcZRSyqEuudBFpLWIiO12f9v3PHGp39cZ/rvzKLuP5DN1ZAy+Pro6V0p5lhrPchGR94FhQAsROQT8BfADMMa8BowFJopIGXAGuNMYY5yWuI7KKwwzE5Lp3LIJN/Zpa3UcpZRyuBoL3Rgzrob751F5WqNL+3LrYVKyCph/Vxw+DcTqOEop5XBecdyhrLyCWcuT6damKdf2bG11HKWUcgqvKPQlSZmknyhk2qgYGujqXCnloTy+0EvKKpi9IoU+7YIZ2a2l1XGUUsppPL7QP9qUQWbuGaaN7oLtZByllPJIHl3oRaXlzFuZSnz7UIZ2dslT45VSymE8utDf23iQo/lFTNfVuVLKC3hsoReWlPHq6jQGd2zOoI7NrY6jlFJO57GF/u6PBzheUMz00TFWR1FKqXrhkYV+qqiU179PY1iXMPq1b2Z1HKWUqhceWej/Xp/OycJSpo3S1blSynt4XKHnFZbyr7X7GN29Fb3bhVgdRyml6o3HFfob6/ZxqqiMx3V1rpTyMh5V6DmnS3hr3X6u792Gbm2aWh1HKaXqlUcV+uvfp3GmtJzHR3a2OopSStU7jyn0rFNFvPNjOjf3DadTyyCr4yilVL3zmEJ/dVUapeWGKbo6V0p5KY8o9MO5Z3hv40Fu69eO9s0bWx1HKaUs4RGFPm9VKgbD5OGdrI6ilFKWcftCz8gp5KOfMxjXP5J2oY2sjqOUUpZx+0KfvSIFnwbCpKt0da6U8m5uXej7sgtYknSIewa2p1XTAKvjKKWUpdy60GevSCHAz4dHhnW0OopSSlnObQt979FTLN16mHsHR9GiSUOr4yillOXcttBnLU+mib8vDw+NtjqKUkq5hBoLXUTeEpEsEdlRzf0iInNEJFVEtolInONj/tqOzDy+3XGUBy7vQEgjf2c/nFJKuQV7VuhvA9dc5P5rgc62jwnAgkuPdXEzE5IJDvTjwSs6OPuhlFLKbdRY6MaYNUDORTa5CXjXVNoAhIhIG0cFPN/mgydZsSeLCUOjaRrg56yHUUopt+OIY+jhQMY5nx+yfe0CIjJBRDaJyKbs7Ow6PZgBhsaEcd/gqDr9eaWU8lT1+qKoMWahMSbeGBMfFhZWp+8RFxnKuw/0p3FDXwenU0op9+aIQs8EIs75vJ3ta0oppeqRIwp9KfBb29kuA4E8Y8wRB3xfpZRStVDjcQsReR8YBrQQkUPAXwA/AGPMa8A3wHVAKlAI3O+ssEoppapXY6EbY8bVcL8BJjkskVJKqTpx23eKKqWU+jUtdKWU8hBa6Eop5SG00JVSykNI5WuaFjywSDZwoI5/vAVw3IFxrKT74po8ZV88ZT9A9+Ws9saYKt+ZaVmhXwoR2WSMibc6hyPovrgmT9kXT9kP0H2xhx5yUUopD6GFrpRSHsJdC32h1QEcSPfFNXnKvnjKfoDuS43c8hi6UkqpC7nrCl0ppdR5tNCVUspDuHShu+IFquvCjv0YJiJ5IrLF9vFsfWe0l4hEiMgqEdklIjtFZEoV27j882LnfrjF8yIiASLyk4hste3Lc1Vs01BEPrQ9JxtFJMqCqDWyc1/uE5Hsc56Xh6zIag8R8RGRzSLyVRX3Of45Mca47AcwFIgDdlRz/3XAt4AAA4GNVmeu434MA76yOqed+9IGiLPdDgKSge7u9rzYuR9u8bzY/j83sd32AzYCA8/b5lHgNdvtO4EPrc59CftyHzDP6qx27s804L2q/h454zlx6RW6cbELVNeVHfvhNowxR4wxSbbbp4DdXHgNWZd/XuzcD7dg+/9cYPvUz/Zx/tkONwHv2G5/AowQEamniHazc1/cgoi0A64H3qhmE4c/Jy5d6Haw+wLVbmCQ7dfMb0Wkh9Vh7GH7FTGWylXUudzqebnIfoCbPC+2X+23AFlAgjGm2ufEGFMG5AHN6zWknezYF4BbbYfzPhGRiCrudwWzgCeAimrud/hz4u6F7imSqJzP0AeYC3xubZyaiUgT4FNgqjEm3+o8dVXDfrjN82KMKTfG9KXymr79RaSnxZHqzI59+RKIMsb0BhL4/6tclyEiNwBZxpjE+nxcdy90j7hAtTEm/+yvmcaYbwA/EWlhcaxqiYgflSW42BizpIpN3OJ5qWk/3O15ATDG5AKrgGvOu+uX50REfIFg4ES9hqul6vbFGHPCGFNs+/QNoF89R7PHEGCMiKQDHwDDRWTReds4/Dlx90L3iAtUi0jrs8fORKQ/lc+LS/5js+V8E9htjJlRzWYu/7zYsx/u8ryISJiIhNhuBwKjgD3nbbYUuNd2eyyw0thejXMl9uzLea/HjKHy9Q+XYox5yhjTzhgTReULniuNMePP28zhz0mN1xS1knjIBart2I+xwEQRKQPOAHe64j82myHAPcB223FOgKeBSHCr58We/XCX56UN8I6I+FD5Q+cjY8xXIvI8sMkYs5TKH17/EZFUKl+gv9O6uBdlz748JiJjgDIq9+U+y9LWkrOfE33rv1JKeQh3P+SilFLKRgtdKaU8hBa6Ukp5CC10pZTyEFroSinlIbTQlVLKQ2ihK6WUh/h/vyV/3iC5QPwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots() \n",
    "ax.plot([1, 2, 3, 4], [1, 4, 2, 3])\n",
    "#plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAANT0lEQVR4nO3cYYjkd33H8ffHO1NpjKb0VpC706T00njYQtIlTRFqirZc8uDugUXuIFgleGAbKVWEFEuU+MiGWhCu1ZOKVdAYfSALntwDjQTEC7chNXgXItvTeheFrDHNk6Ax7bcPZtKdrneZf3Zndy/7fb/gYP7/+e3Mlx97752d2ZlUFZKk7e8VWz2AJGlzGHxJasLgS1ITBl+SmjD4ktSEwZekJqYGP8lnkzyZ5PuXuD5JPplkKcmjSW6c/ZiSpPUa8gj/c8CBF7n+VmDf+N9R4F/WP5YkadamBr+qHgR+/iJLDgGfr5FTwNVJXj+rASVJs7FzBrexGzg/cXxhfO6nqxcmOcrotwCuvPLKP7z++utncPeS1MfDDz/8s6qaW8vXziL4g1XVceA4wPz8fC0uLm7m3UvSy16S/1zr187ir3SeAPZOHO8Zn5MkXUZmEfwF4F3jv9a5GXimqn7t6RxJ0taa+pROki8BtwC7klwAPgK8EqCqPgWcAG4DloBngfds1LCSpLWbGvyqOjLl+gL+emYTSZI2hO+0laQmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqYlBwU9yIMnjSZaS3HWR69+Q5IEkjyR5NMltsx9VkrQeU4OfZAdwDLgV2A8cSbJ/1bK/B+6vqhuAw8A/z3pQSdL6DHmEfxOwVFXnquo54D7g0Ko1BbxmfPm1wE9mN6IkaRaGBH83cH7i+ML43KSPArcnuQCcAN5/sRtKcjTJYpLF5eXlNYwrSVqrWb1oewT4XFXtAW4DvpDk1267qo5X1XxVzc/Nzc3oriVJQwwJ/hPA3onjPeNzk+4A7geoqu8CrwJ2zWJASdJsDAn+aWBfkmuTXMHoRdmFVWt+DLwNIMmbGAXf52wk6TIyNfhV9TxwJ3ASeIzRX+OcSXJPkoPjZR8E3pvke8CXgHdXVW3U0JKkl27nkEVVdYLRi7GT5+6euHwWeMtsR5MkzZLvtJWkJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNTEo+EkOJHk8yVKSuy6x5p1JziY5k+SLsx1TkrReO6ctSLIDOAb8GXABOJ1koarOTqzZB/wd8JaqejrJ6zZqYEnS2gx5hH8TsFRV56rqOeA+4NCqNe8FjlXV0wBV9eRsx5QkrdeQ4O8Gzk8cXxifm3QdcF2S7yQ5leTAxW4oydEki0kWl5eX1zaxJGlNZvWi7U5gH3ALcAT4TJKrVy+qquNVNV9V83NzczO6a0nSEEOC/wSwd+J4z/jcpAvAQlX9qqp+CPyA0Q8ASdJlYkjwTwP7klyb5ArgMLCwas3XGD26J8kuRk/xnJvdmJKk9Zoa/Kp6HrgTOAk8BtxfVWeS3JPk4HjZSeCpJGeBB4APVdVTGzW0JOmlS1VtyR3Pz8/X4uLilty3JL1cJXm4qubX8rW+01aSmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmBgU/yYEkjydZSnLXi6x7R5JKMj+7ESVJszA1+El2AMeAW4H9wJEk+y+y7irgb4CHZj2kJGn9hjzCvwlYqqpzVfUccB9w6CLrPgZ8HPjFDOeTJM3IkODvBs5PHF8Yn/s/SW4E9lbV11/shpIcTbKYZHF5efklDytJWrt1v2ib5BXAJ4APTltbVcerar6q5ufm5tZ715Kkl2BI8J8A9k4c7xmfe8FVwJuBbyf5EXAzsOALt5J0eRkS/NPAviTXJrkCOAwsvHBlVT1TVbuq6pqqugY4BRysqsUNmViStCZTg19VzwN3AieBx4D7q+pMknuSHNzoASVJs7FzyKKqOgGcWHXu7kusvWX9Y0mSZs132kpSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmhgU/CQHkjyeZCnJXRe5/gNJziZ5NMk3k7xx9qNKktZjavCT7ACOAbcC+4EjSfavWvYIMF9VfwB8FfiHWQ8qSVqfIY/wbwKWqupcVT0H3AccmlxQVQ9U1bPjw1PAntmOKUlaryHB3w2cnzi+MD53KXcA37jYFUmOJllMsri8vDx8SknSus30RdsktwPzwL0Xu76qjlfVfFXNz83NzfKuJUlT7Byw5glg78TxnvG5/yfJ24EPA2+tql/OZjxJ0qwMeYR/GtiX5NokVwCHgYXJBUluAD4NHKyqJ2c/piRpvaYGv6qeB+4ETgKPAfdX1Zkk9yQ5OF52L/Bq4CtJ/j3JwiVuTpK0RYY8pUNVnQBOrDp398Tlt894LknSjPlOW0lqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpoYFPwkB5I8nmQpyV0Xuf43knx5fP1DSa6Z+aSSpHWZGvwkO4BjwK3AfuBIkv2rlt0BPF1Vvwv8E/DxWQ8qSVqfIY/wbwKWqupcVT0H3AccWrXmEPBv48tfBd6WJLMbU5K0XjsHrNkNnJ84vgD80aXWVNXzSZ4Bfhv42eSiJEeBo+PDXyb5/lqG3oZ2sWqvGnMvVrgXK9yLFb+31i8cEvyZqarjwHGAJItVNb+Z93+5ci9WuBcr3IsV7sWKJItr/dohT+k8AeydON4zPnfRNUl2Aq8FnlrrUJKk2RsS/NPAviTXJrkCOAwsrFqzAPzl+PJfAN+qqprdmJKk9Zr6lM74Ofk7gZPADuCzVXUmyT3AYlUtAP8KfCHJEvBzRj8Upjm+jrm3G/dihXuxwr1Y4V6sWPNexAfiktSD77SVpCYMviQ1seHB92MZVgzYiw8kOZvk0STfTPLGrZhzM0zbi4l170hSSbbtn+QN2Ysk7xx/b5xJ8sXNnnGzDPg/8oYkDyR5ZPz/5LatmHOjJflskicv9V6ljHxyvE+PJrlx0A1X1Yb9Y/Qi738AvwNcAXwP2L9qzV8BnxpfPgx8eSNn2qp/A/fiT4HfHF9+X+e9GK+7CngQOAXMb/XcW/h9sQ94BPit8fHrtnruLdyL48D7xpf3Az/a6rk3aC/+BLgR+P4lrr8N+AYQ4GbgoSG3u9GP8P1YhhVT96KqHqiqZ8eHpxi952E7GvJ9AfAxRp/L9IvNHG6TDdmL9wLHquppgKp6cpNn3CxD9qKA14wvvxb4ySbOt2mq6kFGf/F4KYeAz9fIKeDqJK+fdrsbHfyLfSzD7kutqarngRc+lmG7GbIXk+5g9BN8O5q6F+NfUfdW1dc3c7AtMOT74jrguiTfSXIqyYFNm25zDdmLjwK3J7kAnADevzmjXXZeak+ATf5oBQ2T5HZgHnjrVs+yFZK8AvgE8O4tHuVysZPR0zq3MPqt78Ekv19V/7WVQ22RI8Dnquofk/wxo/f/vLmq/merB3s52OhH+H4sw4ohe0GStwMfBg5W1S83abbNNm0vrgLeDHw7yY8YPUe5sE1fuB3yfXEBWKiqX1XVD4EfMPoBsN0M2Ys7gPsBquq7wKsYfbBaN4N6stpGB9+PZVgxdS+S3AB8mlHst+vztDBlL6rqmaraVVXXVNU1jF7POFhVa/7QqMvYkP8jX2P06J4kuxg9xXNuE2fcLEP24sfA2wCSvIlR8Jc3dcrLwwLwrvFf69wMPFNVP532RRv6lE5t3McyvOwM3It7gVcDXxm/bv3jqjq4ZUNvkIF70cLAvTgJ/HmSs8B/Ax+qqm33W/DAvfgg8Jkkf8voBdx3b8cHiEm+xOiH/K7x6xUfAV4JUFWfYvT6xW3AEvAs8J5Bt7sN90qSdBG+01aSmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElq4n8BzPZculjwdYoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplot_mosaic([['left', 'right_top'],\n",
    "                               ['left', 'right_bottom']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.02020202, 0.04040404, 0.06060606, 0.08080808,\n",
       "       0.1010101 , 0.12121212, 0.14141414, 0.16161616, 0.18181818,\n",
       "       0.2020202 , 0.22222222, 0.24242424, 0.26262626, 0.28282828,\n",
       "       0.3030303 , 0.32323232, 0.34343434, 0.36363636, 0.38383838,\n",
       "       0.4040404 , 0.42424242, 0.44444444, 0.46464646, 0.48484848,\n",
       "       0.50505051, 0.52525253, 0.54545455, 0.56565657, 0.58585859,\n",
       "       0.60606061, 0.62626263, 0.64646465, 0.66666667, 0.68686869,\n",
       "       0.70707071, 0.72727273, 0.74747475, 0.76767677, 0.78787879,\n",
       "       0.80808081, 0.82828283, 0.84848485, 0.86868687, 0.88888889,\n",
       "       0.90909091, 0.92929293, 0.94949495, 0.96969697, 0.98989899,\n",
       "       1.01010101, 1.03030303, 1.05050505, 1.07070707, 1.09090909,\n",
       "       1.11111111, 1.13131313, 1.15151515, 1.17171717, 1.19191919,\n",
       "       1.21212121, 1.23232323, 1.25252525, 1.27272727, 1.29292929,\n",
       "       1.31313131, 1.33333333, 1.35353535, 1.37373737, 1.39393939,\n",
       "       1.41414141, 1.43434343, 1.45454545, 1.47474747, 1.49494949,\n",
       "       1.51515152, 1.53535354, 1.55555556, 1.57575758, 1.5959596 ,\n",
       "       1.61616162, 1.63636364, 1.65656566, 1.67676768, 1.6969697 ,\n",
       "       1.71717172, 1.73737374, 1.75757576, 1.77777778, 1.7979798 ,\n",
       "       1.81818182, 1.83838384, 1.85858586, 1.87878788, 1.8989899 ,\n",
       "       1.91919192, 1.93939394, 1.95959596, 1.97979798, 2.        ])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x14317416e88>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 100) \n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "ax.plot(x, x, label='linear')  # Plot some data on the Axes.\n",
    "ax.plot(x, x**2, label='quadratic')\n",
    "ax.plot(x, x**3, label='cubic')\n",
    "ax.set_xlabel('x label')\n",
    "ax.set_ylabel('y label')\n",
    "ax.set_title(\"Simple Plot\")\n",
    "ax.legend(loc=\"best\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x14319bb4908>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2, 100)  # Sample data.\n",
    "\n",
    "plt.figure(figsize=(5, 2.7), layout='constrained')\n",
    "plt.plot(x, x, label='linear')  # Plot some data on the (implicit) Axes.\n",
    "plt.plot(x, x**2, label='quadratic')  # etc.\n",
    "plt.plot(x, x**3, label='cubic')\n",
    "plt.xlabel('x label')\n",
    "plt.ylabel('y label')\n",
    "plt.title(\"Simple Plot\")\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def my_plotter(ax, data1, data2, param_dict):\n",
    "\n",
    "    out = ax.plot(data1, data2, **param_dict)\n",
    "    return out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14319d0ff48>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data1, data2, data3, data4 = np.random.randn(4, 100)  # make 4 random data sets\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 2.7))\n",
    "my_plotter(ax1, data1, data2, {'marker': 'o'})\n",
    "my_plotter(ax2, data3, data4, {'marker': 'd'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14319ddaec8>]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(5, 2.7))\n",
    "axs[0].plot(data1, data2, marker=\"o\")\n",
    "axs[1].plot(data3, data4, marker=\"d\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "x = np.arange(len(data1))\n",
    "ax.plot(x, x**2, color='blue', linewidth=3, linestyle='-.',alpha=0.5)\n",
    "l, = ax.plot(x,x**3 , color='orange', linewidth=2)\n",
    "l.set_linestyle(':')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x143173b6348>"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "ax.scatter(data1, data2, s=50, facecolor='C0', edgecolor='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1431b1d95c8>"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "ax.plot(data1, 'o', `alpha=0.5,color=\"purple\",label='data1')\n",
    "ax.plot(data2, 'd', label='data2')\n",
    "ax.plot(data3, 'v', label='data3')\n",
    "ax.plot(data4, 's', label='data4')\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matplotlib.text.Text"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu, sigma = 115, 15\n",
    "x = mu + sigma * np.random.randn(10000)\n",
    "fig, ax = plt.subplots(figsize=(5, 2.7), layout='constrained')\n",
    "n, bins, patches = ax.hist(x, 50, density=True, facecolor='C0', alpha=0.75)\n",
    "ax.set_xlabel('Length [cm]')\n",
    "ax.set_ylabel('Probability')\n",
    "ax.set_title('Aardvark lengths\\n (not really)')\n",
    "ax.text(75, .025, r'$\\mu=115,\\ \\sigma=15$',)\n",
    "ax.axis([55, 175, 0, 0.03])\n",
    "ax.grid(True)\n",
    "t = ax.set_xlabel('my data', fontsize=30, color='k')\n",
    "type(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0, 2.0)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "t = np.arange(0.0, 5.0, 0.01)\n",
    "s = np.cos(2 * np.pi * t)\n",
    "ax.plot(t, s, lw=2)\n",
    "ax.annotate('local max', xy=(2, 1), xytext=(3, 1.5),\n",
    "            arrowprops=dict(facecolor='red', shrink=0.05))\n",
    "ax.set_ylim(-2, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1431b9af248>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7))\n",
    "ax.plot(range(len(data1)), data1, label='data1')\n",
    "ax.plot(np.arange(len(data2)), data2, color=\"orange\",label='data2')\n",
    "ax.plot(np.arange(len(data3)), data3, 'd',color=\"green\", label='data3')\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1431bb54f08>]"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(5, 2.7), layout='constrained')\n",
    "xdata = np.arange(len(data1))  # make an ordinal for this\n",
    "data = 10**data1\n",
    "axs[0].plot(xdata, data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1431cde5888>]"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(5, 2.7), layout='constrained')\n",
    "xdata = np.arange(len(data1))  # make an ordinal for this\n",
    "data = 10**data1\n",
    "axs[0].plot(xdata, data)\n",
    "axs[1].set_yscale('log')\n",
    "axs[1].plot(xdata, data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Manual ticks')"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 1, layout='constrained')\n",
    "axs[0].plot(xdata, data1)\n",
    "axs[0].set_title('Automatic ticks')\n",
    "\n",
    "axs[1].plot(xdata, data1)\n",
    "axs[1].set_xticks([0,30,60,90], ['zero', '30', 'sixty', 'Bilibili'])\n",
    "axs[1].set_yticks([-3,-1.5, 0, 1.5,3])  # note that we don't need to specify labels\n",
    "axs[1].set_title('Manual ticks')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.98581899, 0.66112985, 0.5249852 , 0.61038198])"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 0.5)"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x194.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 2.7), layout='constrained')\n",
    "categories = ['turnips', 'rutabaga', 'cucumber', 'pumpkins']\n",
    "ax.bar(categories, [0.1,0.2,0.32,0.4])\n",
    "ax.set_ylim(0,0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x194.4 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax3) = plt.subplots(1, 2, figsize=(7, 2.7), layout='constrained')\n",
    "l1, =ax1.plot(t, s)\n",
    "ax2 = ax1.twinx()\n",
    "l2, =ax2.plot(t, range(len(t)), 'C1')\n",
    "ax2.legend([l1, l2], ['Sine (left)', 'Straight (right)'])\n",
    "\n",
    "ax3.plot(t, s)\n",
    "ax3.set_xlabel('Angle [rad]')\n",
    "ax4 = ax3.secondary_xaxis('top')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3.        , 3.16227766, 3.60555128],\n",
       "       [4.        , 4.12310563, 4.47213595],\n",
       "       [5.        , 5.09901951, 5.38516481]])"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X,Y=np.meshgrid([0,1,2],[3,4,5])\n",
    "Z = np.sqrt(X**2+Y**2)\n",
    "Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 2],\n",
       "       [0, 1, 2],\n",
       "       [0, 1, 2]])"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3, 3, 3],\n",
       "       [4, 4, 4],\n",
       "       [5, 5, 5]])"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, Y = np.meshgrid(np.linspace(-3, 3, 128), np.linspace(-3, 3, 128))\n",
    "Z = np.sqrt(X**2+Y**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.24264069, 4.20936663, 4.17636192, ..., 4.17636192, 4.20936663,\n",
       "        4.24264069],\n",
       "       [4.20936663, 4.17582745, 4.14255553, ..., 4.14255553, 4.17582745,\n",
       "        4.20936663],\n",
       "       [4.17636192, 4.14255553, 4.10901421, ..., 4.10901421, 4.14255553,\n",
       "        4.17636192],\n",
       "       ...,\n",
       "       [4.17636192, 4.14255553, 4.10901421, ..., 4.10901421, 4.14255553,\n",
       "        4.17636192],\n",
       "       [4.20936663, 4.17582745, 4.14255553, ..., 4.14255553, 4.17582745,\n",
       "        4.20936663],\n",
       "       [4.24264069, 4.20936663, 4.17636192, ..., 4.17636192, 4.20936663,\n",
       "        4.24264069]])"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'pcolormesh()')"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 2, layout='constrained')\n",
    "pc = axs[0, 0].pcolormesh(X, Y, Z, cmap='RdBu_r')\n",
    "fig.colorbar(pc, ax=axs[0, 0])\n",
    "axs[0, 0].set_title('pcolormesh()')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
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